Nope. This container is the official Docker Postgres 15.3-alpine3.18 image + the older versions of PostgreSQL compiled into it and some pg_upgrade scripting added to the docker entrypoint script to run the upgrade before starting PostgreSQL.
It goes out of it's way to use the "--link" option when running pg_upgrade, to upgrade in-place and therefore avoid making an additional copy of the data.
That being said, this is a pretty new project (about a week old on GitHub), and having some support for making an (optional) backup isn't a bad idea.
I'll have to think on a good way to make that work. Probably needs to check for some environment variable as a toggle or something, for the people who want it... (unsure yet).